100219976477152 has 192 divisors, whose sum is σ = 232019039831040. Its totient is φ = 41713103609856.

The previous prime is 100219976477107. The next prime is 100219976477161. The reversal of 100219976477152 is 251774679912001.

It is a happy number.

It is a super-2 number, since 2×100219976477152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19810231999 + ... + 19810237057.

It is an arithmetic number, because the mean of its divisors is an integer number (1208432499120).

Almost surely, 2^{100219976477152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100219976477152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116009519915520).

100219976477152 is an abundant number, since it is smaller than the sum of its proper divisors (131799063353888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100219976477152 is a wasteful number, since it uses less digits than its factorization.

100219976477152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 100219976477152 in words is "one hundred trillion, two hundred nineteen billion, nine hundred seventy-six million, four hundred seventy-seven thousand, one hundred fifty-two".